MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The picture is attached as reference. Here are the questions:

Grand Mean = 14.82

a) Calculate the numerator for the F statistic (between group variance)

b) Calculate the denominator for the F statistic (within group variance)

Calculate effect size.

Iranian researchers studied factors affecting patients' likelihood of wearing orthodontic appliances, noting that
orthodontics is perhaps the area of health care with the highest need for patient cooperation (Behenam & Pooya,
2007). Among their analyses, they compared students in primary school, junior high school, and high school. The
data that follow have almost exactly the same means as they found in their study, but with far smaller samples.
The score for each student is his or her daily hours of wearing the orthodontic appliance.
Groups
nk
Primary school: 16, 13, 18
Junior high school: 8, 13, 14, 12
High school: 20, 15, 16, 18
Primary school
15.67
6.33
Junior high school
11.75
6.92
High school
17.25
4.92
State research and null hypotheses in words & symbols:
The F-distribution shows values of F you would get if you repeatedly drew 3+ samples from one particular population and
calculated the ratio of between-groups to within-groups variance.
dfpetween =
dfwithin
dftotal =
Determine the critical value and mark it on the
distribution to the right.
Ferit (dfpetween dfwithin) =
5%
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Transcribed Image Text:Iranian researchers studied factors affecting patients' likelihood of wearing orthodontic appliances, noting that orthodontics is perhaps the area of health care with the highest need for patient cooperation (Behenam & Pooya, 2007). Among their analyses, they compared students in primary school, junior high school, and high school. The data that follow have almost exactly the same means as they found in their study, but with far smaller samples. The score for each student is his or her daily hours of wearing the orthodontic appliance. Groups nk Primary school: 16, 13, 18 Junior high school: 8, 13, 14, 12 High school: 20, 15, 16, 18 Primary school 15.67 6.33 Junior high school 11.75 6.92 High school 17.25 4.92 State research and null hypotheses in words & symbols: The F-distribution shows values of F you would get if you repeatedly drew 3+ samples from one particular population and calculated the ratio of between-groups to within-groups variance. dfpetween = dfwithin dftotal = Determine the critical value and mark it on the distribution to the right. Ferit (dfpetween dfwithin) = 5%
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